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What is the most appropriate measure to describe the center of these data? A. Me

ID: 3247716 • Letter: W

Question

What is the most appropriate measure to describe the center of these data? A. Mean B. Standard deviation C. IQR D. Mode E. Range Question Completion Status Moving to another question will save this response Question 4 of 17 Question 4 1 points In 2015 data were collected on the percent of people in the U.S. not covered by health insurance. Summary statistics and a histogram for these data are shown below listoram of % mt covered What is the most appropriate measure to describe the center of these data? Mean 0 Standard deviation o Mode Range O Type here to search

Explanation / Answer

Based on the above table we can say our data is slightly skewed but mean is the best way.

The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed. However, it all depends on what you are trying to show from your data.

The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data. However, the mode can also be appropriate in these situations, but is not as commonly used as the median.

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred

Type of Variable Best measure of central tendency Nominal Mode Ordinal Median Interval/Ratio (not skewed) Mean Interval/Ratio (skewed) Median
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